T. Persson

activity

20052023

most citedA Note on Random Coverings of Tori

29 citations · 103 across the 29 of their papers we have counts for

collaborators

35 papers

math.NT2023

On the distribution of sequences of the form $(q_{n} y)$

S. Kristensen, T. Persson

We study the distribution of sequences of the form $(q_{n} y)_{n = 1}^{\infty}$ , where $(q_{n})_{n = 1}^{\infty}$ is some increasing sequence of integers. In particular, we study the Lebesgue m…

math.DS2022

A parameter ASIP for the quadratic family

Magnus Aspenberg, Viviane Baladi, Tomas Persson

Consider the quadratic family $T_{a} (x) = a x (1 - x)$ , for $x \in [0, 1]$ and mixing Collet--Eckmann (CE) parameters $a \in (2, 4)$ . For bounded $φ$ , set $\tilde φ_{a} := φ- \int φ\,…

math.DS2022

A strong Borel--Cantelli lemma for recurrence

Tomas Persson

Consider a mixing dynamical systems $([0, 1], T, μ)$ , for instance a piecewise expanding interval map with a Gibbs measure $μ$ . Given a non-summable sequence $(m_{k})$ of non-negative…

math.DS2021★ 2 cited

Dichotomy results for eventually always hitting time statistics and almost sure growth of extremes

Mark Holland, Maxim Kirsebom, Philipp Kunde +1

Suppose $(f, X, μ)$ is a measure preserving dynamical system and $ϕ : X \to R$ a measurable function. Consider the maximum process $M_n:=\max\{X_1 \l…

math.PR2021

Uniform random covering problems

Henna Koivusalo, Lingmin Liao, Tomas Persson

Motivated by the random covering problem and the study of Dirichlet uniform approximable numbers, we investigate the uniform random covering problem. Precisely, consider an i.i.d.…

math.DS2020

On eventually always hitting points

Charis Ganotaki, Tomas Persson

We consider dynamical systems $(X, T, μ)$ which have exponential decay of correlations for either Hölder continuous functions or functions of bounded variation. Given a sequence of b…